8 is what percent of 26.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 26.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 26.5, so we can write it down as 100%=26.5.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=26.5
2) x%=8
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=26.5/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 26.5

100%/x%=26.5/8
(100/x)*x=(26.5/8)*x       - we multiply both sides of the equation by x
100=3.3125*x       - we divide both sides of the equation by (3.3125) to get x
100/3.3125=x
30.188679245283=x
x=30.188679245283

now we have:
8 is 30.188679245283% of 26.5